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Mixed-type duality for multiobjective fractional variational control problems

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  • Raman Patel

Abstract

The concept of mixed-type duality has been extended to the class of multiobjective fractional variational control problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual problems. The results are obtained for Ï -convex (generalized Ï -convex) functions. The results generalize a number of duality results previously obtained for finite-dimensional nonlinear programming problems under various convexity assumptions.

Suggested Citation

  • Raman Patel, 2005. "Mixed-type duality for multiobjective fractional variational control problems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:849539
    DOI: 10.1155/IJMMS.2005.109
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